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Simplifying 10M + -29 + -37 = 19(-30 + 26M) + -36(14M + -4) Reorder the terms: -29 + -37 + 10M = 19(-30 + 26M) + -36(14M + -4) Combine like terms: -29 + -37 = -66 -66 + 10M = 19(-30 + 26M) + -36(14M + -4) -66 + 10M = (-30 * 19 + 26M * 19) + -36(14M + -4) -66 + 10M = (-570 + 494M) + -36(14M + -4) Reorder the terms: -66 + 10M = -570 + 494M + -36(-4 + 14M) -66 + 10M = -570 + 494M + (-4 * -36 + 14M * -36) -66 + 10M = -570 + 494M + (144 + -504M) Reorder the terms: -66 + 10M = -570 + 144 + 494M + -504M Combine like terms: -570 + 144 = -426 -66 + 10M = -426 + 494M + -504M Combine like terms: 494M + -504M = -10M -66 + 10M = -426 + -10M Solving -66 + 10M = -426 + -10M Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '10M' to each side of the equation. -66 + 10M + 10M = -426 + -10M + 10M Combine like terms: 10M + 10M = 20M -66 + 20M = -426 + -10M + 10M Combine like terms: -10M + 10M = 0 -66 + 20M = -426 + 0 -66 + 20M = -426 Add '66' to each side of the equation. -66 + 66 + 20M = -426 + 66 Combine like terms: -66 + 66 = 0 0 + 20M = -426 + 66 20M = -426 + 66 Combine like terms: -426 + 66 = -360 20M = -360 Divide each side by '20'. M = -18 Simplifying M = -18
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